The main objective of this work is to study the homogeneous thermoelastic interactions in an isotropic hollow thin cylinder immersed electric–magnetic field using linear Moore–Gibson–Thompson theory thermoelasticity, taking into account generalized Ohm’s law. MGT system equations for new model created by incorporating a relaxation period Green–Naghdi type III framework. In addition, Maxwell tha...

Abstract In this investigation, a computational analysis is conducted to study magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium subjected periodic heat flow in the presence of continuous longitude magnetic field. Based on Moore–Gibson–Thompson equation, new generalized model has been investigated address considered problem. introduced can be form...

It is seen how to write the standard form of the four partial differential equations in four unknowns of anisotropic thermoelasticity as a single equation in one variable, in terms of isothermal and isentropic wave operators. This equation, of diffusive type, is of the eighth order in the space derivatives and seventh order in the time derivatives and so is parabolic in character. After having ...

A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a previous publication plays the role of a " thermoelastic potential " and is used along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement. The g...

Based on Green–Lindsay generalized thermoelasticity theory, this paper presents a new refined higher-order time-derivative model. Thinner one-dimensional skin tissue is considered when its inner surface free of traction and does not show any temperature increase. The tissue’s bounding has been heated by ramp-type heating. classical thermoelastic theories are obtained from the present general fo...

The propagation of singularities for the system of homogeneous thermoelasticity in one space dimension is studied. Linear and a class of semilinear Cauchy problems are considered.

In this work we establish a local existence and a blow up result for a multidimensional nonlinear system of thermoelasticity with second sound.

In the present paper is concerned with study of thermoelastic interaction in an infinite KelvinVoigt type viscoelastic, thermally conducting solid bordered with viscous liquid half-spaces/layers of varying temperature. Complex secular equations in closed and isolated mathematical conditions for Rayleigh wave propagation in completely separate terms are derived. The results for coupled and uncou...